Advertisements
Advertisements
प्रश्न
The zeroes of the polynomial p(x) = 2x2 – x – 3 are ______.
विकल्प
`-3/2, 1`
`3/2, 1`
`-3/2, -1`
`3/2, -1`
उत्तर
The zeroes of the polynomial p(x) = 2x2 – x – 3 are `underlinebb(3/2, -1)`.
Explanation:
2x2 – x – 3
2x2 – 3x + 2x – 3
x(2x – 3) + 1(2x – 3)
(2x – 3) (x + 1)
Zeroes are `3/2` and – 1
APPEARS IN
संबंधित प्रश्न
Find all zeroes of the polynomial `(2x^4 - 9x^3 + 5x^2 + 3x - 1)` if two of its zeroes are `(2 + sqrt3)` and `(2 - sqrt3)`
If 𝛼 and 𝛽 are the zeros of the quadratic polynomial p(x) = 4x2 − 5x −1, find the value of α2β + αβ2.
Verify that 5, -2 and 13 are the zeroes of the cubic polynomial `p(x) = (3x^3 – 10x^2 – 27x + 10)` and verify the relation between its zeroes and coefficients.
Find a cubic polynomial whose zeroes are `1/2, 1 and -3.`
Find all the zeroes of `(x^4 + x^3 – 23x^2 – 3x + 60)`, if it is given that two of its zeroes are `sqrt3 and –sqrt3`.
Check whether g(x) is a factor of p(x) by dividing polynomial p(x) by polynomial g(x),
where p(x) = x5 − 4x3 + x2 + 3x +1, g(x) = x3 − 3x + 1
If p(x) = axr + bx + c, then –`"b"/"a"` is equal to ______.
Given that the zeroes of the cubic polynomial x3 – 6x2 + 3x + 10 are of the form a, a + b, a + 2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.
If α and β are the zeros of a polynomial f(x) = px2 – 2x + 3p and α + β = αβ, then p is ______.
If α, β are the zeroes of the polynomial p(x) = 4x2 – 3x – 7, then `(1/α + 1/β)` is equal to ______.